Mathematics
Grade6
Easy
Question
Write an equivalent expression for the expression .
 b
 2b
 4b

Hint:
This is an algebraic expression. An algebraic expression consists of two components: a variable and a constant. A variable is a quantity that doesn’t have any fixed value. It takes value according to the conditions. It is denoted by the alphabet. A constant is a quantity with a fixed value. In this question, we are given an expression. We have perform the required operations and find the equivalent expression.
The correct answer is: b
The given expression is
There is one variable in the above expression. The variable is: ‘b’. There are two terms in the above expression. We have to perform the operations between them and simplify the expression.
If we see, both the term contains the same variable. Such terms are called “like terms.” And the terms with different variables are called “unlike terms.
For like terms, we can perform the operations between their coefficients by keeping the variable constant. It means we can treat each term as a constant and perform operations like normal operations on constants.
For the above expression, we can perform an operation between the first term and second term as both the terms as they have the same variable ‘b’. We will keep ‘b’ constant and perform addition between the coefficients.
The given expression has same denominator, so we can add the numerators of the expression.
. .
Therefore, the value of the equation is b
So option which is ‘b’, is the right option.
We have to see if the variables are same or different before performing operations. If variables are same, they operate with each other.